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Finding the Fourth Proportional to 198.85, 274.71 and 157.27

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Solution

The fourth proportional to 198.85, 274.71 and 157.27 is: 217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.85 : 274.71 = 157.27 : x
  2. Step 2: Convert to fraction form
    198.85/274.71 = 157.27/x
  3. Step 3: Cross multiply
    198.85x = 274.71 × 157.27
  4. Step 4: Simplify right side
    198.85x = 43,203.64
  5. Step 5: Solve for x
    x = 43,203.64/198.85
  6. Step 6: Final answer
    x = 217.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.